Formatting page ...
Class: X MM: First Pre board Examination (2017 - 2018) 80 Subject: Mathematics Date: 27/12/17 Time: 2 1 2 hrs Attempt all questions from section A and any 4 questions from section B. All working, including the rough work, must be clearly shown and must be done on the same sheet as the rest of the answer. Omission of essential working will result in the loss of marks. The intended marks for questions or parts of questions are given in bracket [ ] SEC-A [ 40 Marks] Attempt all the questions from this section Question1 [ ] 4 1 . Find the value of k If M2 6M +kI = 0 where I is the identity 1 2 matrix of order 2 2. [3] a) Given M= b) Three numbers are in continued proportion. If the middle number is 18 and the sum of first and last is 39, find the numbers. [3] c) A manufacturer marks an article for `8000. He sells it to the wholesaler at 25% discount. The wholesaler sells it to a retailer at 20% discount on M.P. If the retailer sells it at M.P and VAT charged is 8% at every stage. Find the VAT paid to the Government by (i) the wholesaler (ii) the retailer. [4] Question2 a) When the two polynomials x3 px2 + x + 6 and 2x3 x2 (p + 3)x 6 are divided by (x 3), the remainder is same. Find the value of p. [3] b) If A (-6,0) and B(0, 6), find the points of trisection of the line segment AB. [3] c) The sum of the third and the seventh terms of an A.P is 6 and their product is 8. Find the sum of first sixteen terms of A.P [4] Question3 1
|
